Question

OACB is a quadrant of circle Centre O and radius 3.5 centimetres . if OD =2 centimetres find the area of 1) OACB
2) shaded region

Answer 1

the answer is
1) 7/2 cm square

2)49/8 cm square

Answer 2

$\huge{\underline{\bigstar{\sf{solution!!}}}}$

Given,OACB is a quadrant of a circle

Radius = 3.5 =7/2 cm; OD= 2cm

$\large{\sf{area\: of \: the \: shaded \: region = area \: of \: a \: quadrant \: cricle - area \:of \: triangle \:BOB}}$

=1/4πr²-1/2×b×h

=1/4×22/7×7/2×7/2-1/2×7/2×2

=11×7/2×2×2 -7/2

[=77/8-7/2

=9.625-3.5

$\large{\boxed{\sf{=6.125cm2}}}$

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